Finding the Third Proportional to 3,781.69 and 5,829.47

Step by Step Solution

1. Step 1: Write the proportion equation
   3,781.69 : 5,829.47 = 5,829.47 : x
2. Step 2: Convert to fraction form
   3,781.69/5,829.47 = 5,829.47/x
3. Step 3: Cross multiply
   3,781.69x = 5,829.47 × 5,829.47
4. Step 4: Simplify right side
   3,781.69x = 33,982,705.91
5. Step 5: Solve for x
   x = 33,982,705.91/3,781.69
6. Step 6: Final answer
   x = 8,986.12